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C
n
D
n
S
n
A
n
Degree
Linear
Irr Reps
Characters
×
⋊
.
○
≀
Extensions
1→N→G→Q→1 with N=
C
10
and Q=
C
2
2
⋊A
4
Direct product G=N×Q with N=
C
10
and Q=
C
2
2
⋊A
4
d
ρ
Label
ID
C
10
×C
2
2
⋊A
4
60
C10xC2^2:A4
480,1209
Non-split extensions G=N.Q with N=
C
10
and Q=
C
2
2
⋊A
4
extension
φ:Q→Aut N
d
ρ
Label
ID
C
10
.
1
(C
2
2
⋊A
4
) =
C
5
×Q
8
⋊A
4
central extension (φ=1)
120
6
C10.1(C2^2:A4)
480,1133
C
10
.
2
(C
2
2
⋊A
4
) =
C
5
×C
2
3
⋊A
4
central extension (φ=1)
40
4
C10.2(C2^2:A4)
480,1134
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ℚ
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